Finding the Fourth Proportional to 105.50, 145.50 and 101.45

Step by Step Solution

1. Step 1: Write the proportion equation
   105.50 : 145.50 = 101.45 : x
2. Step 2: Convert to fraction form
   105.50/145.50 = 101.45/x
3. Step 3: Cross multiply
   105.50x = 145.50 × 101.45
4. Step 4: Simplify right side
   105.50x = 14,760.96
5. Step 5: Solve for x
   x = 14,760.96/105.50
6. Step 6: Final answer
   x = 139.91